Giant monopole and quadrupole states in the relativistic σ-ω model

Abstract

Giant monopole and quadrupole states in the relativistic σ-ω model are studied with use of a local Lorentz boost and scaling method. In assuming nuclear matter, those excitation energies are expressed in a simple way in terms of the relativistic Landau parameters, and the expressions are formally very similar to nonrelativistic ones. In the σ-ω model, however, the values of the Landau parameters themselves are dominated by relativistic effects. Unlike the restoring forces depending on the Landau parameters, the mass parameters of these states are little affected by relativity.